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3 years ago

Longer congruent shorter proportional

Mathematics

1 answer:

irinina [24]3 years ago

8 0

Shorter. Because of the way the arches work. the pink dot is the center.

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Mr. Javier purchased a number of pencils for ₱180 and sold all except 6 at a profit of ₱2 per pencil. With the total amount rece

Luba_88 [7]

Answer:

36 pencils

$Cost = 0.2$

Step-by-step explanation:

Given

Cost Price = 180

Represent the number of items by x

This implies that the cost of each item is $\frac{x}{180}$

$Selling\ Price = Cost + Profit$

$Selling\ Price = \frac{x}{180} + 2$

Since all but 6 items were sold, the total selling price is:

$Total = (x - 6)(\frac{x}{180} + 2)$

This amount can be used to buy 30 more items.

So, we have:

$(x - 6)(\frac{x}{180} + 2) = x + 30$

Multiply both sides by 180

$180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)$

$(x - 6)(x + 360) = 180x + 5400$

Expand brackets

$x\² + 360x - 6x - 2160 = 180x + 5400$

$x\² + 354x - 2160 = 180x + 5400$

Equate to 0

$x\² + 354x - 180x - 2160 - 5400 = 0$

$x\² + 174x - 7560 = 0$

Expand

$x\² + 210x - 36x - 7560 = 0$

$x(x + 210) - 36(x + 210) = 0$

$(x - 36)(x + 210) = 0$

$x - 36 = 0$ or $x + 210 = 0$

$x = 36$ or $x = -210$

<em>Since, number of items can't be negative, we have to discard x = -210.</em>

Hence:

$x = 36$

<em>We can then conclude that, Mr. Javier purchased 36 pencils</em>

Recall that

$Cost = \frac{x}{180}$

$Cost = \frac{36}{180}$

$Cost = 0.2$

5 0

4 years ago

I need help this is due Tuesday!

strojnjashka [21]

Whats the total package cost of the pond and he said he would have to be full of Candy :')

3 0

3 years ago

What's the answer ?

e-lub [12.9K]

Surface area = 4* pi * radius squared

radius is half the diameter

4 *3.14 * 2^2 = 50.27

6 0

4 years ago

A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi

neonofarm [45]

Answer: for the first question, after an hour there would be 39,000 gallons left and it would take 450 minutes to drain the pool

Step-by-step explanation:

You multiple the minutes with the rate or which the gallons are being drained and subtract it by the total amount,

Ps can I get the brainliest answer

5 0

3 years ago

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6. Triangle X Y Z is shown. The lengt

myrzilka [38]

Answer:

mAngleY < mAngleZ < mAngleX

Step-by-step explanation:

Since m ≥ 6

Let's assume m = 7

XY = m + 8 = 7 + 8 = 15

YZ = 2 m + 3 = 2(7) + 3 = 17

ZX = m - 3 = 7 - 3 = 4

When solved, the angles of the triangle are given below;

∠X = 113.58

∠Y = 12.45

∠Z = 53.97

Arranging in order;

∠Y < ∠Z < ∠X

The correct option is;

mAngleY < mAngleZ < mAngleX

3 0

3 years ago

Read 2 more answers